A017843 Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12).

1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 3, 4, 4, 5, 7, 10, 14, 17, 21, 27, 36, 49, 64, 82, 105, 137, 181, 238, 310, 401, 521, 681, 892, 1166, 1518, 1975, 2574, 3361, 4390, 5727, 7464, 9728, 12688, 16557, 21603, 28175

Offset

0,11

Comments

Number of compositions (ordered partitions) of n into parts 5, 6, 7, 8, 9, 10, 11 and 12. - Ilya Gutkovskiy, May 25 2017

Links

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,1,1,1,1,1,1,1,1).

Mathematica

With[{fx=1/(1-Total[x^Range[5, 12]])}, CoefficientList[Series[fx, {x, 0, 50}], x]] (* Harvey P. Dale, May 26 2012 *)

Prog

(PARI) Vec(1/(1-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12)+O(x^99)) \\ Charles R Greathouse IV, Sep 26 2012

Crossrefs

Sequence in context: A226429 A036820 A017829 * A036815 A036807 A036808

Adjacent sequences: A017840 A017841 A017842 * A017844 A017845 A017846

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved